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Kadomtsev–Petviashvili equation for acoustic wave in quantum pair plasmas

Published online by Cambridge University Press:  13 June 2011

S. MAHMOOD
Affiliation:
Theoretical Plasma Physics Division (TPPD), PINSTECH P.O. Nilore, Islamabad 44000, Pakistan ([email protected], [email protected]) National Centre for Physics, Quaid-i-Azam University Campus, Islamabad 44000, Pakistan
N. AKHTAR
Affiliation:
Theoretical Plasma Physics Division (TPPD), PINSTECH P.O. Nilore, Islamabad 44000, Pakistan ([email protected], [email protected])
S. A. KHAN
Affiliation:
National Centre for Physics, Quaid-i-Azam University Campus, Islamabad 44000, Pakistan

Abstract

The Kadomtsev–Petviashvili equation is derived for two-dimensional propagations of electrostatic solitons in unmagnetized dense pair-plasmas. The reductive perturbation method is employed and two-dimensional electrostatic potential hump structures are obtained. The conditions for a stable two-dimensional solitary structure are discussed using energy consideration method. The numerical results are also presented by considering the parameters for the outer layers of white dwarfs/neutron stars.

Type
Papers
Copyright
Copyright © Cambridge University Press 2011

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References

[1]Ali, S., Moslem, W. M., Shukla, P. K. and Schlickeiser, R. 2007 Phys. Plasmas 14, 082307.Google Scholar
[2]Berezhiani, V. I., Skarka, V. and Mahajan, S. 1993 Phys. Rev. E 48, 3252.Google Scholar
[3]Chakraborty, D. and Das, K. P. 2004 J. Plasma Phys. 70, 89.CrossRefGoogle Scholar
[4]Das, G. C. and Sen, K. M. 1993 Contrib. Plasma Phys. 33, 15.Google Scholar
[5]Das, G. C., Sharma, J. and Uberoi, C. 1997 Phys. Plasmas 4, 2095.CrossRefGoogle Scholar
[6]Duan, W.-S. 2002 Chaos Solitons Fractals 14, 503.Google Scholar
[7]Hirotani, K., Iguchi, S., Kimura, M. and Wajima, K. 1999 Publ. Astron. Soc. Jpn. 51, 263.CrossRefGoogle Scholar
[8]Haberland, H., Bonitz, M. and Kremp, D. 2001 Phys. Rev. E 64, 026405.Google Scholar
[9]Haas, F., Garcia, L. G., Goedert, J. and Menfredi, G. 2003 Phys. Plasmas 10, 3858.CrossRefGoogle Scholar
[10]Haque, Q. and Mahmood, S. 2008 Phys. Plasmas 15, 03450.Google Scholar
[11]Haque, Q., Mahmood, S. and Mushtaq, A. 2008 Phys. Plasmas 15, 082315.Google Scholar
[12]Iwamoto, N. 1989 Phys. Rev. A 39, 4076.Google Scholar
[13]Iwamoto, N. 1992 Phys. Rev. E 47, 604.Google Scholar
[14]Jung, Y. D. 2001 Phys. Plasmas 8, 3842.CrossRefGoogle Scholar
[15]Jehan, N., Salahuddin, M., Mahmood, S. and Mirza, A. M. 2009 Phys. Plasmas 16, 042313.Google Scholar
[16]Kadomtsev, B. B. and Petviashvili, V. I. 1970 Sovt. Phys. Doklady 15, 539.Google Scholar
[17]Kako, M. and Rowlands, G. 1976 Plasma Phys. 18, 165.Google Scholar
[18]Khan, S. A., Mahmood, S. and Saleem, H. 2008 Phys. Plasmas 15, 082303.CrossRefGoogle Scholar
[19]Krall, N. and Travelpiece, A. W. 1973 Principles of Plasma Physics. Columbus, OH: McGraw-Hill.CrossRefGoogle Scholar
[20]Miller, H. R. and Wiita, P. J. 1987 Active Galactic Nuclei. Berlin, Germany: Springer-Verlag, p. 202.Google Scholar
[21]Malfliet, W. 1992 Am. J. Phys. 60, 650.Google Scholar
[22]Manfredi, G. and Haas, F. 2001 Phys. Rev. B 64, 075316.CrossRefGoogle Scholar
[23]Manfredi, G. 2005 Fields Inst. Commun. 46, 263.Google Scholar
[24]Marklund, M. 2005 Phys. Plasmas 12, 082110.CrossRefGoogle Scholar
[25]Moslem, W. M., Ali, S., Shukla, P. K. and Tang, X. Y. 2007 Phys. Plasmas 14, 082308.CrossRefGoogle Scholar
[26]Misra, A. P., Gosh, N. K. and Bhowmick, C. 2008 Euro Phys. J. D 49, 373.Google Scholar
[27]Masood, W., Mahmood, S. and Imtiaz, N. 2009 Phys. Plasmas 16, 122306.CrossRefGoogle Scholar
[28]Mahmood, S., Khan, S. A. and Ur-Rehman, H. 2010 Phys. Plasmas 17, 112312.CrossRefGoogle Scholar
[29]Reynolds, C. S., Fabian, A. C., Celotti, A. and Rees, M. J. 1996 Mon. Not. R. Astron. Soc. 283, 873.CrossRefGoogle Scholar
[30]Sabry, R., Moslem, W. M., Shukla, P. K. and Schlickeiser, R. 2007 Phys. Plasmas 14, 082307.Google Scholar
[31]Shukla, P. K. and Eliasson, B. 2010 Phys. Usp. 53, 51.Google Scholar
[32]Zank, G. P. and Greaves, R. G. 1995 Phys. Rev. E 51, 6079.Google Scholar